निम्नलिखित बिंदुओं द्वारा बनाने वाले चतुर्भुज का प्रकार (यदि कोई हो तो) बताइये तथा अपने उत्तर के लिए कारण भी दीजिये:
(i) `(-1,-2),(1,0),(-1,2),(-3,0)`
(ii) `(-3,5),(3,1),(0,3), (-1,-4)`
(iii) `(4,5), (7,6), (4,3), (1,2)`

(i) {:[( 1,0,0),( 0,1,0),( 0,0,1) ]:}" "(ii) {:[( 1,0,4),(3,5,-1),( 0,1,2) ]:}

Show that the following points are collinear : (i) (0,7,-7), (1,4,-5), (-1, 10,-9) (ii) (3,-5,1), (-1,0,8), (7,-10,-6) (iii) (-2,3,5),(7,0,-1),(1,2,3)

Show that the following points are collinear : (i) (0,7,-7), (1,4,-5), (-1, 10,-9) (ii) (3,-5,1), (-1,0,8), (7,-10,-6) (iii) (-2,3,5),(7,0,-1),(1,2,3)

Name the type of quadrilateral formed, if any, by the following points, and give reasons for your answer: (i) (– 1, – 2), (1, 0), (– 1, 2), (– 3, 0) (ii) (–3, 5), (3, 1), (0, 3), (–1, – 4) (iii) (4, 5), (7, 6), (4, 3), (1, 2)

Evaluate: (i) 3[(5),(-2)] (ii) 7 [{:(,-1,2),(,0,1):}] (iii) 2[{:(,-1, 0),(,2,-3):}] +[{:(,3,3),(,5,0):}]

If X= [(2,3,0),(1,-1,5)] ,Y= [(-1,-2,3),(-1,0,2)] ,Z= [(0,4,-1),(5,6,-5)] find 3X+4Y-Z

By plotting the following points check whether they are collinear or not (i) (1,1), (2,2),(4,4) (ii) (1,0), (-3,0), (0,0) (iii) (2,-2), (0,0), (-3,4)